One-day Workshop on Nonlinear Dynamics and Hierarchical Self-
organization Process

February 17, 2006

Research Institute for Electronic Science, Hokkaido University
Room: E501


===== Morning session =====
10:00 - 10:15
Opening remarks

10:15 - 11:05
Tomohiko Yamaguchi (AIST)
Constructing Hierarchic Structures

11:15 - 12:05
Makoto Iima (Hokkaido University)
Temporal switching of the large surface deformation of water in a
cylinder driven by rotating disc

===== Afternoon session =====

14:00 - 14:50
Markus Eiswirth (Fritz-Haber-Institut der Max-Planck-Gesellschaft)
Nonautocatalytic Oscillators and Olfactory Response

14:50 - 15:20
Tea break

15:20 - 16:10
Toshi Ogawa (Osaka University)
Degenerate Hopf bifurcations in reaction-diffusion equations

16:20 - 17:10
TBA


Organizers: Yasumasa Nishiura, Yasu Hiraoka

If you have any questions, please contact hiraoka@nsc.es.hokudai.ac.jp


===== Abstracts =====

Tomohiko Yamaguchi (AIST)
Constructing Hierarchic Structures

Self-organization is ubiquitous over a broad spectrum of
space and time. Traditionally, selforganized structures
have been thought of as arising without human intervention.
Recent work, however, has begun to reveal the factors
that may induce and stabilize a desired selforganized
structure, and we are now at the brink of being able to
control the process of self-organization. In other words,
self-organization is no longer confined to the realm of
pure science but has begun to enter the domain of engineering
as well. This tendency was accelerated by the so-called
bottom-up approaches in nanotechnology. This talk will be
focused on the aproach to constructing a hierarchy by
combining self-assembly and long-range interaction in
nonequilibrium processes.
##

Makoto Iima (Hokkaido University)
Temporal switching of the large surface deformation of water in a
cylinder driven by rotating disc

We experimentally studied the large deformation of water surface
caused by the rotational flow
in a cylinder, which is driven by a disc rotating at a constant
angular velocity. Dependent on
the angular velocity, the deformation is classified in terms of the
axial symmetry and its temporal variation.
In particular, we found new phenomena that the surface switches its
shape between an axisymmetric
surface deformation and an asymmetric one. The switching is
aperiodic. Moreover, an asymmetric state
adjacent to the switching state depends on the volume of the water.
##

Markus Eiswirth (Fritz-Haber-Institut der Max-Planck-Gesellschaft)
Nonautocatalytic Oscillators and Olfactory Response

The conditions for an oscillatory instability (Hopf bifurcation) in
the absence of any positive feedback loop are derived using
stoichiometric network analysis. The result is applied to calcium
oscillations in olfactory cilia (which are not based on the well-
known autocatalytic Ca-induced Ca release mechanism). Numerical
simulations are well able to reproduce experimental oscillation and
adaption measurements. The notion of refractoriness without
excitability is discussed.
##

Toshi Ogawa (Osaka University)
Degenerate Hopf bifurcations in reaction-diffusion equations

Motivated by electro-chemical experiments on a ring electrode
we study a 2-components R-D system with global inhibition.
By the normal form analysis about the degenerate critical points
we can understand the interactions between several critical modes
and as a results the stability of the rotating waves and the standing
waves may change depending on the nonlinearity.
##